# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:?[X7]:((p(s(t_bool,X7))<=>s(X1,X5)=s(X1,X4))&s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3))))),s(X1,X4)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_bools_cond(s(t_bool,X7),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3)))))))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ch4s_finiteu_u_maps_DOMSUBu_u_FUPDATEu_u_THM)).
fof(28, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X9),s(X1,X8)))=s(X1,X9),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(33, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X9),s(X1,X8)))=s(X1,X8),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(39, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(~(s(X1,X5)=s(X1,X4))=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3))))),s(X1,X4)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3)))))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FUPDATEu_u_NEQ)).
fof(41, axiom,![X2]:![X1]:![X3]:![X30]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X30),s(X2,X3))))),s(X1,X30)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X30))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FUPDATE)).
fof(45, axiom,![X1]:![X2]:![X10]:![X11]:![X27]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X27),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X11),s(X2,X10)))))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X27),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X11),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X11),s(X2,X10))))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_finiteu_u_maps_FUPDATEu_u_DRESTRICT)).
fof(51, axiom,![X2]:![X1]:![X30]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X30)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X30),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', ah4s_finiteu_u_maps_fmapu_u_domsub)).
fof(55, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DOMSUB__FUPDATE__THM', aHLu_FALSITY)).
fof(69, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FUPDATE__THM', aHLu_TRUTH)).
# SZS output end CNFRefutation
